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Finding the Fourth Proportional to 20,315.34, 30,464.91 and 7,828.43

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Solution

The fourth proportional to 20,315.34, 30,464.91 and 7,828.43 is: 11,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.34 : 30,464.91 = 7,828.43 : x
  2. Step 2: Convert to fraction form
    20,315.34/30,464.91 = 7,828.43/x
  3. Step 3: Cross multiply
    20,315.34x = 30,464.91 × 7,828.43
  4. Step 4: Simplify right side
    20,315.34x = 238,492,263.07
  5. Step 5: Solve for x
    x = 238,492,263.07/20,315.34
  6. Step 6: Final answer
    x = 11,739.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.